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Finding the Fourth Proportional to 1,044.16, 1,565.92 and 360

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Solution

The fourth proportional to 1,044.16, 1,565.92 and 360 is: 539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.16 : 1,565.92 = 360 : x
  2. Step 2: Convert to fraction form
    1,044.16/1,565.92 = 360/x
  3. Step 3: Cross multiply
    1,044.16x = 1,565.92 × 360
  4. Step 4: Simplify right side
    1,044.16x = 563,731.20
  5. Step 5: Solve for x
    x = 563,731.20/1,044.16
  6. Step 6: Final answer
    x = 539.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.